SAT math essentials part 11 ppsx

8. a. There are three numbers on the wheel that are less than four (1, 2, 3), but only one of those numbers (3) is greater than two. The probabil- ity of Jenna spinning a number that is both less than 4 and greater than 2 is ᎏ 1 8 ᎏ . 9. e. The volume of a cylinder is equal to π r 2 h .The volume of the cylinder is 160π and its radius is 4. Therefore, the height of the cylinder is equal to: 160π = π(4) 2 h 160 = 16h h = 10 The length of an edge of the cube is equal to half the height of the cylinder. The edge of the cube is 5 units. The surface area of a cube is equal to 6e 2 ,where e is the length of an edge of the cube. The surface area of the cube = 6(5) 2 = 6(25) = 150 square units. 10. c. m#n is a function definition. The problem is saying “m#n” is the same as “m 2 – n”. I f m#n is m 2 – n, then n#m is n 2 – m. So, to find m#(n#m), replace (n#m) with the value of (n#m), which is n 2 – m: m#(n 2 – m). Now, use the function definition again. The function definition says “take the value before the # symbol, square it, and subtract the value after the # symbol”: m squared is m 2 , minus the second term, (n 2 – m), is equal to m 2 – (n 2 – m) = m 2 – n 2 + m. 11. e. x –1 = ᎏ 1 x ᎏ = = –4; – ᎏ 8 3 x ᎏ = – = ᎏ 3 2 ᎏ .4x + 3 = 4(– ᎏ 1 4 ᎏ ) + 3 = –1 + 3 = 2; 16 x = 16 – ᎏ 1 4 ᎏ = = ᎏ 1 2 ᎏ ; ᎏ 8 1 1 x ᎏ = = 81 ᎏ 1 4 ᎏ = 3. 12. e. Angles e and f are vertical angles, so angle e Х angle f.However,angle d and angle j are not alternating angles. These angles are formed by different transversals. It cannot be stated that angle d Х angle j, therefore, it cannot be stated that d + e = f + j. 13. a. Melissa’s mean time for the first five dashes is = ᎏ 2 5 8 ᎏ = 5.6. Her times, in order from least to greatest, are: 5.3, 5.4, 5.4, 5.6, and 6.3. The middle score, or median, is 5.4. The number that appears most often, the mode, is 5.4. A score of 5.3 means that the mean will decrease and that the mode will no longer be 5.4 alone. The mode will now be 5.3 and 5.4. The median, however, will remain 5.4. 14. b. = ( ᎏ x y y ᎏ + xy)( ᎏ x x y ᎏ ) = ᎏ x y ᎏ + x 15. a. If a straight line were drawn through as many of the plotted points as possible, it would have a negative slope. The line slopes more sharply than the line y = – x (a line with a slope of –1), so the line would have a slope more negative than –1. The line would also have a y -intercept well above the x -axis. The only equation given with a slope more negative than –1 is s = –2( t – 15). 16. b. The area of a circle is equal to πr 2 . The radius of the inner circle is 5 m; therefore, the area of the inner circle is 25π m 2 . The radius of the outer circle is (1.2)(5) = 6 m; therefore, the area of the outer circle is 36π. Subtract the area of the inner circle from the area of the outer circle: 36π – 25π = 9π m 2 . ᎏ x y y ᎏ + xy ᎏ ᎏ x x y ᎏ 5.4 + 5.6 + 5.4 + 6.3 + 5.3 ᎏᎏᎏ 5 1 ᎏ 81 – ᎏ 1 4 ᎏ 1 ᎏ 16 ᎏ 1 4 ᎏ 3 ᎏ 8(– ᎏ 1 4 ᎏ ) 1 ᎏ – ᎏ 1 4 ᎏ –PRACTICE TEST 1– 195 [...]... auditorium? 11 If point A is at (–1,2) and point B is at (11, –7), what is length of line AB? 12 Robert is practicing for the long jump competition His first four jumps measure 12.4 ft, 18.9 ft, 17.3 ft, and 15.3 ft, respectively If he averages 16.3 feet for his first five jumps, what is the length in feet of his fifth jump? 13 There are seven students on the trivia team Mr Randall must choose four students to participate... b c d e 1 ᎏᎏ 6 1 ᎏᎏ 10 1 ᎏᎏ 50 3 ᎏᎏ 20 77 ᎏᎏ 90 211 – PRACTICE TEST 2 – 8 P N Z A J B K 70˚ L C O M D Q In the diagram above, lines NO and PQ are parallel to each other and perpendicular to lines JK and LM Line JK is parallel to line LM If angle CBD is 70 degrees, what is the measure of angle ZBK? a 10 degrees b 20 degrees c 70 degrees d 90 degrees e 110 degrees 9 Monica sells pretzels in the cafeteria... 9 9 ᎏᎏ 2 9 ᎏᎏ 4 e 1 212 – PRACTICE TEST 2 – 11 Which of the following statements is always true if p is a rational number? a |p| < |3p| b |p2| > |p + 1| c |–p| > p d |p3| > |p2| e |p–p| > p–p 12 A O 55˚ B C In the diagram above, side OB Х side OC Which of the following is the measure of minor arc BC? a 27.5 degrees b 45 degrees c 55 degrees d 70 degrees e 110 degrees 2 ᎏ 13 If g^h = ᎏgh , then (h^g)^h... that passes through the points (2,3) and (–2,5)? a y = x + 1 b y = –ᎏ1ᎏx + 4 2 c y = –ᎏ1ᎏx 2 d y = –ᎏ3ᎏx 2 e y = –ᎏ3ᎏx + 2 2 5 An empty crate weighs 8.16 kg and an orange weighs 220 g If Jon can lift 11, 000 g, how many oranges can he pack in the crate before lifting it onto his truck? a 12 b 13 c 37 d 46 e 50 6 The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5 . is a simulation of the three Math sections you will complete on the SAT. To receive the most benefit from this practice test, complete it as if it were the real SAT. So take this practice test. students have left so far, how many students are still in the auditorium? 11. If point A is at (–1,2) and point B is at (11, –7), what is length of line AB? 12. Robert is practicing for the long. class="bi x0 y84 w2 hf" alt="" –LEARNINGEXPRESS ANSWER SHEET– 199 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. a b c d e a b c d e a b c d e a b c d e a b c d e a b c